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Finding the Fourth Proportional to 10,011.94, 13,817 and 5,763.64

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Solution

The fourth proportional to 10,011.94, 13,817 and 5,763.64 is: 7,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.94 : 13,817 = 5,763.64 : x
  2. Step 2: Convert to fraction form
    10,011.94/13,817 = 5,763.64/x
  3. Step 3: Cross multiply
    10,011.94x = 13,817 × 5,763.64
  4. Step 4: Simplify right side
    10,011.94x = 79,636,213.88
  5. Step 5: Solve for x
    x = 79,636,213.88/10,011.94
  6. Step 6: Final answer
    x = 7,954.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.